Title

On the maximum 2-1 matching

Document Type

Article

Publication Date

10-1-1987

Abstract

Given a simple bipartite graph G=(X,Y, E). M {Mathematical expression}E is called a 2-1 matching of G if: 1) ∀x εX, either two edges or none in M is incident to x and 2) ∀y εY, at most one edge in M is incident to y. In this paper, we describe an efficient algorithm for finding a maximum 2-1 matching in a given bipartite graph. We also formulate and prove a duality theorem for 2-1 matching. © 1987 Science Press, Beijing, China and Allerton Press, Inc. New York, U.S.A.

Publication Source (Journal or Book title)

Acta Mathematicae Applicatae Sinica

First Page

305

Last Page

312

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